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Finding the Fourth Proportional to 406.49, 559.87 and 351.14

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Solution

The fourth proportional to 406.49, 559.87 and 351.14 is: 483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 559.87 = 351.14 : x
  2. Step 2: Convert to fraction form
    406.49/559.87 = 351.14/x
  3. Step 3: Cross multiply
    406.49x = 559.87 × 351.14
  4. Step 4: Simplify right side
    406.49x = 196,589.07
  5. Step 5: Solve for x
    x = 196,589.07/406.49
  6. Step 6: Final answer
    x = 483.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.